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Finding the Fourth Proportional to 12,546.36, 17,304.78 and 9,013.20

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Solution

The fourth proportional to 12,546.36, 17,304.78 and 9,013.20 is: 12,431.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.36 : 17,304.78 = 9,013.20 : x
  2. Step 2: Convert to fraction form
    12,546.36/17,304.78 = 9,013.20/x
  3. Step 3: Cross multiply
    12,546.36x = 17,304.78 × 9,013.20
  4. Step 4: Simplify right side
    12,546.36x = 155,971,443.10
  5. Step 5: Solve for x
    x = 155,971,443.10/12,546.36
  6. Step 6: Final answer
    x = 12,431.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.